1.A turbine shaft is manufactured from a hollow steel bar, with an inner diameter of40 mm and an outer diameter of 50 mm. In operation, the shaft is subject to atensile axial load of 125 kN, a bending moment of 250 Nm and a torque of1000 Nm as shown in Figure 1.(a)(b)(c)(ii)Torque(iii)Bending MomentBending MomentFigure 1: Loading on turbine ShaftAt the point of interest on the shaft's surface (see Figure 1) determine:(i)the stress due to axial load;the stress due to bending moment;Point of Interestthe shear stress due to torque.TensionTorqueOn a 2-dimensional surface element representing the point of interest,indicate the stresses calculated in (a).Determine the principal stresses at the point of interest.

Given Data: Shaft inner Diameter di=40 mm=0.04 m Shaft outer Diameter do=50 mm=0.05 m Tensile Axial…

A turbine shaft is manufactured from a hollow steel bar, with an inner diameter of 40 mm and an outer diameter of 50 mm. In operation, the shaft is subject to a tensile axial load of 125 kN, a bending moment of 250 Nm and a torque of 1000 Nm as shown in Figure 1. Torque Bending Moment Bending Moment Point of Interest Tension Figure 1: Loading on turbine Shaft Torque

A turbine shaft is manufactured from a hollow steel bar, with an inner diameter of 40 mm and an outer diameter of 50 mm. In operation, the shaft is subject to a tensile axial load of 125 kN, a bending moment of 250 Nm and a torque of 1000 Nm as shown in Figure 1. Torque Bending Moment Bending Moment Point of Interest Tension Figure 1: Loading on turbine Shaft Torque

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

1.
A turbine shaft is manufactured from a hollow steel bar, with an inner diameter of
40 mm and an outer diameter of 50 mm. In operation, the shaft is subject to a
tensile axial load of 125 kN, a bending moment of 250 Nm and a torque of
1000 Nm as shown in Figure 1.
(a)
(b)
(c)
(ii)
Torque
(iii)
Bending Moment
Bending Moment
Figure 1: Loading on turbine Shaft
At the point of interest on the shaft's surface (see Figure 1) determine:
(i)
the stress due to axial load;
the stress due to bending moment;
Point of Interest
the shear stress due to torque.
Tension
Torque
On a 2-dimensional surface element representing the point of interest,
indicate the stresses calculated in (a).
Determine the principal stresses at the point of interest.

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